The fourth dimension of space-time [Carl Sagan]
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2D: Circle of a radius of R
y²+x²=R²
3D: Sphere of radius of R²
y²+x²+z²=R²
4D: Hypersphere of a radius of R²
y²+x²+z²+t²=R²
Now imagine you fix the value of t. You can write:
y²+x²+z²=(R²+t²)
It's a sphere of a radius R2=√(R²+t²)
You just did a projection.
Now take several value of t and you get this.
You are welcome.
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